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Finding the Fourth Proportional to 1,365.26, 1,884.20 and 775.85

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Solution

The fourth proportional to 1,365.26, 1,884.20 and 775.85 is: 1,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.26 : 1,884.20 = 775.85 : x
  2. Step 2: Convert to fraction form
    1,365.26/1,884.20 = 775.85/x
  3. Step 3: Cross multiply
    1,365.26x = 1,884.20 × 775.85
  4. Step 4: Simplify right side
    1,365.26x = 1,461,843.27
  5. Step 5: Solve for x
    x = 1,461,843.27/1,365.26
  6. Step 6: Final answer
    x = 1,070.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.